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Finding the Third Proportional to 1,187,620,005 and 2,559,161,607

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Solution

The third proportional to 1,187,620,005 and 2,559,161,607 is: 5,514,649,553.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187,620,005 : 2,559,161,607 = 2,559,161,607 : x
  2. Step 2: Convert to fraction form
    1,187,620,005/2,559,161,607 = 2,559,161,607/x
  3. Step 3: Cross multiply
    1,187,620,005x = 2,559,161,607 × 2,559,161,607
  4. Step 4: Simplify right side
    1,187,620,005x = 6,549,308,130,742,822,912
  5. Step 5: Solve for x
    x = 6,549,308,130,742,822,912/1,187,620,005
  6. Step 6: Final answer
    x = 5,514,649,553.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.